Question

Solve each equation by completing the square. X^2 +2x-5=0 N^2-20n+2=4

Answer 1

Step-by-step explanation:

x² + 2x - 5 = 0

that is the same as

x² + 2x + 1 = 6

(x + 1)² = 6

x + 1 = ±sqrt(6)

x = -1 ± sqrt(6)

x1 = -1 + sqrt(6)

x2 = -1 - sqrt(6)

n² - 20n + 2 = 4

this is the same as

(n - 10)² = 102

n - 10 = ±sqrt(102)

n = 10 ± sqrt(102)

n1 = 10 + sqrt(102)

n2 = 10 - sqrt(102)